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Finding the Third Proportional to 92,116 and 203,592

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Solution

The third proportional to 92,116 and 203,592 is: 449,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,116 : 203,592 = 203,592 : x
  2. Step 2: Convert to fraction form
    92,116/203,592 = 203,592/x
  3. Step 3: Cross multiply
    92,116x = 203,592 × 203,592
  4. Step 4: Simplify right side
    92,116x = 41,449,702,464
  5. Step 5: Solve for x
    x = 41,449,702,464/92,116
  6. Step 6: Final answer
    x = 449,972.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.